Pith Number

pith:2V2HZQGA

pith:2009:2V2HZQGASQXZZ3YFOMQUJOJH4G

not attested not anchored not stored refs pending

Catalan Solids Derived From 3D-Root Systems and Quaternions

Mehmet Koca, Nazife Ozdes Koca, Ramazan Koc

arxiv:0908.3272 v1 · 2009-08-22 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2V2HZQGASQXZZ3YFOMQUJOJH4G}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:12:23.905263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5747cc0c0942f9cef05732144b927e1b5ca2e8ed21978405a0ba4b4caa807f7

Aliases

arxiv: 0908.3272 · arxiv_version: 0908.3272v1 · doi: 10.48550/arxiv.0908.3272 · pith_short_12: 2V2HZQGASQXZ · pith_short_16: 2V2HZQGASQXZZ3YF · pith_short_8: 2V2HZQGA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2V2HZQGASQXZZ3YFOMQUJOJH4G \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d5747cc0c0942f9cef05732144b927e1b5ca2e8ed21978405a0ba4b4caa807f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d9b29e4e00fc9e89b9ad3211e2e98f6178c1a08d8728e08e752b009ef2e3042",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-08-22T18:34:42Z",
    "title_canon_sha256": "38581a1e97409cb41d4122568dd0012135825882986c13f54b1daf01a287066d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3272",
    "kind": "arxiv",
    "version": 1
  }
}